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Pathogen genome data offers valuable structure for spatial models, but its utility is limited by incomplete sequencing coverage. We propose a probabilistic framework for inferring genetic distances between unsequenced cases and known…

Genomics · Quantitative Biology 2025-09-10 Haley Stone , Jing Du , Hao Xue , Matthew Scotch , David Heslop , Andreas Züfle , Chandini Raina MacIntyre , Flora Salim

We study data-driven decision-making problems in the Bayesian framework, where the expectation in the Bayes risk is replaced by a risk-sensitive entropic risk measure. We focus on problems where calculating the posterior distribution is…

Optimization and Control · Mathematics 2021-09-13 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

Harvey et al. (2010) extended the Bayesian estimation method by Sahu et al. (2003) to a multivariate skew-elliptical distribution with a general skewness matrix, and applied it to Bayesian portfolio optimization with higher moments.…

Methodology · Statistics 2021-08-10 Sakae Oya , Teruo Nakatsuma

Bayesian inference is a widely used technique for real-time characterization of quantum systems. It excels in experimental characterization in the low data regime, and when the measurements have degrees of freedom. A decisive factor for its…

Quantum Physics · Physics 2025-07-10 Alexandra Ramôa , Raffaele Santagati , Nathan Wiebe

Modern approaches to perform Bayesian variable selection rely mostly on the use of shrinkage priors. That said, an ideal shrinkage prior should be adaptive to different signal levels, ensuring that small effects are ruled out, while keeping…

Methodology · Statistics 2024-11-14 Santiago Marin , Bronwyn Loong , Anton H. Westveld

The use of fossil evidence to calibrate divergence time estimation has a long history. More recently Bayesian MCMC has become the dominant method of divergence time estimation and fossil evidence has been re-interpreted as the specification…

Populations and Evolution · Quantitative Biology 2011-03-31 Heled Joseph , Alexei Drummond

This paper introduces a variational approximation framework using direct optimization of what is known as the {\it scale invariant Alpha-Beta divergence} (sAB divergence). This new objective encompasses most variational objectives that use…

Machine Learning · Statistics 2018-05-22 Jean-Baptiste Regli , Ricardo Silva

With new advancements in technology, it is now possible to collect data for a variety of different metrics describing tumor growth, including tumor volume, composition, and vascularity, among others. For any proposed model of tumor growth…

Quantitative Methods · Quantitative Biology 2020-09-08 Heyrim Cho , Allison L. Lewis , Kathleen M. Storey

Uncertainty quantification in PDE inverse problems is essential in many applications. Scientific machine learning and AI enable data-driven learning of model components while preserving physical structure, and provide the scalability and…

Machine Learning · Computer Science 2026-01-12 Ray Zirui Zhang , Christopher E. Miles , Xiaohui Xie , John S. Lowengrub

Big Bayes is the computationally intensive co-application of big data and large, expressive Bayesian models for the analysis of complex phenomena in scientific inference and statistical learning. Standing as an example, Bayesian…

We consider the problem of multivariate density deconvolution where the distribution of a random vector needs to be estimated from replicates contaminated with conditionally heteroscedastic measurement errors. We propose a conceptually…

Methodology · Statistics 2022-11-29 Arkaprava Roy , Abhra Sarkar

Bayesian inference methods rely on numerical algorithms for both model selection and parameter inference. In general, these algorithms require a high computational effort to yield reliable estimates. One of the major challenges in…

Quantitative Methods · Quantitative Biology 2018-08-09 Patricio Maturana , Brendon J. Brewer , Steffen Klaere , Remco Bouckaert

Here we introduce a general class of multiple calibration birth-death tree priors for use in Bayesian phylogenetic inference. All tree priors in this class separate ancestral node heights into a set of "calibrated nodes" and "uncalibrated…

Populations and Evolution · Quantitative Biology 2013-11-21 Joseph Heled , Alexei J. Drummond

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

Statistics Theory · Mathematics 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Deep learning models lack shift invariance, making them sensitive to input shifts that cause changes in output. While recent techniques seek to address this for images, our findings show that these approaches fail to provide…

Machine Learning · Computer Science 2025-02-28 Berken Utku Demirel , Christian Holz

We present a method for identification of models with good predictive performances in the family of Bayesian log-linear mixed models with Dirichlet process random effects. Such a problem arises in many different applications; here we…

Methodology · Statistics 2018-01-17 Cinzia Carota , Maurizio Filippone , Silvia Polettini

The paper describes the use of Bayesian regression for building time series models and stacking different predictive models for time series. Using Bayesian regression for time series modeling with nonlinear trend was analyzed. This approach…

Applications · Statistics 2022-01-07 Bohdan M. Pavlyshenko

The problem of clock offset estimation in a two-way timing exchange regime is considered when the likelihood function of the observation time stamps is exponentially distributed. In order to capture the imperfections in node oscillators,…

Information Theory · Computer Science 2012-02-02 Aitzaz Ahmad , Davide Zennaro , Erchin Serpedin , Lorenzo Vangelista

Estimation of Distribution Algorithms have been proposed as a new paradigm for evolutionary optimization. This paper focuses on the parallelization of Estimation of Distribution Algorithms. More specifically, the paper discusses how to…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Jiri Ocenasek , Martin Pelikan